What is 1200/2208 Simplified? (Reduce 1200/2208 to Lowest Terms: 25/46)

Exact Answer

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Problem: Simplify 1200/2208 to Lowest Terms
Formula / Expression: 1200/2208 = 25/46
Final Answer: 25/46
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Step-by-Step Solution:

Step 1: Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1200: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40
• Factors of 2208: 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96
Working: GCD(1200, 2208) = 48

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 48. Divide both the numerator (1200) and denominator (2208) by 48.
Working: 1200 ÷ 48/2208 ÷ 48 = 25/46

Key Values:
- Simplified Fraction: 25/46
- Mixed Number Form: 25/46
- Decimal Value: 0.543478
- Percentage: 54.3478%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1200-2208/
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1200/2208 = 25/46

Simplified Fraction

25/46

Mixed Number

Proper (25/46)

Decimal Value

0.543478

Percentage

54.3478%

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Step-by-Step Solution: 1200/2208 = 25/46

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1200: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40
• Factors of 2208: 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96

GCD(1200, 2208) = 48

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 48. Divide both the numerator (1200) and denominator (2208) by 48.

1200 ÷ 48/2208 ÷ 48 = 25/46

Visual Representation

The diagram below illustrates Simplify 1200/2208 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`25/46`
Mixed Number Form	`25/46`
Decimal Form	`0.543478`
Percentage	`54.3478%`

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Frequently Asked Questions

What is 1200/2208 in simplest form?

1200/2208 simplified to lowest terms is 25/46.

What is the GCD (GCF) of 1200 and 2208?

The Greatest Common Divisor (GCD) of 1200 and 2208 is 48.

What are equivalent fractions to 1200/2208?

Equivalent fractions to 1200/2208 include 50/92, 75/138, and 100/184.